Joël Rouyer

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20122019

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Showing 2018Show all

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math.MG2018

Farthest points on flat surfaces

Joël Rouyer, Costin Vîlcu

We consider the distance function from an arbitrary point $p$ on a flat surface, and determine the set $F_{p}$ of all \emph{farthest points} (i.e., points at maximal distance) from…

math.MG2018

Double normals of most convex bodies

Alain Rivière, Joël Rouyer, Costin Vîlcu +1

We consider a typical (in the sense of Baire categories) convex body $K$ in $R^{d + 1}$ . The set of feet of its double normals is a Cantor set, having lower box-counting dim…